Question

For a non-zero vector a, the set of real number, satisfying `|(5-x)a|lt|2a|` consists of all x such that
A. `0 lt x lt 3`
B. `3 lt x lt 7`
C. `-7 lt x lt -3`
D. `-7 lt x lt 3`

Answer 1

Correct Answer - B
We have, `|(5-x)a|lt|2a|`
`|5-x||a|lt2|a|`
`implies|5-x|lt2`
`implies-2 lt 5-x lt 2`
`implies 3 lt x lt `7